Linear Regression

If the regression line of $y$ on $x$ is $y = a$, then $b_{yx}$ is:

If $b_{yx} = b_{xy} = r$, then the standard deviations of $x$ and $y$ must be:

What is the relation between $b_{yx}$ and $r$ if $\sigma_x = 2\sigma_y$?

If $b_{yx}$ is positive, then $b_{xy}$ must be:

Linear regression analysis assumes that the relationship between the variables is a:

If $r^2 = 0.81$, then the magnitude of the correlation coefficient $|r|$ is:

The value of $r^2$ ranges between:

If the two regression coefficients are $b_{yx} = 4$ and $b_{xy} = 1/9$, then $r$ is:

If $r = -1$, the two regression lines:

If $b_{yx} = 1.5$ and $r = 0.75$, find the value of the ratio $\sigma_x / \sigma_y$.

If $b_{yx} = 0.6$ and $r = 0.6$, what is the value of the regression coefficient $b_{xy}$?

If the product of the two regression coefficients is $0.49$ and both coefficients are negative, find the value of the correlation coefficient $r$.